paper

The average number of divisors of the Euler function

arXiv:1605.04933 · doi:10.1007/s11139-017-9897-2

Abstract

The upper bound and the lower bound of average numbers of divisors of Euler Phi function and Carmichael Lambda function are obtained by Luca and Pomerance (see \cite{LP}). We improve the lower bound and provide a heuristic argument which suggests that the upper bound given by \cite{LP} is indeed close to the truth.

20 pages, submitted